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Finding the Third Proportional to 409.92 and 846.42

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Solution

The third proportional to 409.92 and 846.42 is: 1,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 846.42 = 846.42 : x
  2. Step 2: Convert to fraction form
    409.92/846.42 = 846.42/x
  3. Step 3: Cross multiply
    409.92x = 846.42 × 846.42
  4. Step 4: Simplify right side
    409.92x = 716,429.99
  5. Step 5: Solve for x
    x = 716,429.99/409.92
  6. Step 6: Final answer
    x = 1,747.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.